1 questions from 2024
Let \( S = \{ a + b\sqrt{2} : a, b \in \mathbb{Z} \} \), \( T_1 = \{ (-1 + \sqrt{2})^n : n \in \mathbb{N} \} \), and \( T_2 = \{ (1 + \sqrt{2})^n : n \in \mathbb{N} \} \). Then which of the following statements is (are) TRUE?
